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Finding the Third Proportional to 249,021 and 382,593.38

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Solution

The third proportional to 249,021 and 382,593.38 is: 587,812.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,021 : 382,593.38 = 382,593.38 : x
  2. Step 2: Convert to fraction form
    249,021/382,593.38 = 382,593.38/x
  3. Step 3: Cross multiply
    249,021x = 382,593.38 × 382,593.38
  4. Step 4: Simplify right side
    249,021x = 146,377,690,593.89
  5. Step 5: Solve for x
    x = 146,377,690,593.89/249,021
  6. Step 6: Final answer
    x = 587,812.64

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.